n-Schur Functions and Determinants on an Infinite Grassmannian
| dc.creator | Kasman, Alex | |
| dc.date | 1998-11-11 | |
| dc.date.accessioned | 2026-07-07T05:26:51Z | |
| dc.date.available | 2026-07-07T05:26:51Z | |
| dc.description | A set of functions is defined which is indexed by a positive integer $n$ and partitions of integers. The case $n=1$ reproduces the standard Schur polynomials. These functions are seen to arise naturally as a determinant of an action on the frame bundle of an infinite grassmannian. This fact is well known in the case of the Schur polynomials ($n=1$) and has been used to decompose the $τ$-functions of the KP hierarchy as a sum. In the same way, the new functions introduced here ($n>1$) are used to expand quotients of $τ$-functions as a sum with Plucker coordinates as coefficients. | |
| dc.identifier | https://arxiv.org/abs/math/9811081 | |
| dc.identifier | http://arxiv.org/abs/math/9811081 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77705 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | Combinatorics | |
| dc.title | n-Schur Functions and Determinants on an Infinite Grassmannian | |
| dc.type | text |